A347835 Lexicographically earliest sequence of distinct terms > 0 such that the a(a(n))-th digit of S is the n-th digit of Pi.

2, 3, 10, 6, 11, 9, 94, 5, 14, 50, 18, 51, 8, 23, 70, 22, 1, 30, 32, 80, 36, 60, 35, 13, 28, 34, 17, 38, 380, 47, 57, 90, 4, 21, 20, 43, 45, 7, 79, 54, 12, 76, 81, 949, 84, 91, 41, 56, 590, 120, 15, 39, 49, 25, 24, 99, 68, 53, 101, 59, 64, 71, 106, 26, 44, 29, 69, 77, 16, 89, 66, 33, 108, 31, 82, 117, 42

Offset

1,1

Links

Table of n, a(n) for n=1..77.

Example

The  2nd digit of S is 3 and if n = 1 then a(1) =  2 and a(a(1)) = 3.
The  3rd digit of S is 1 and if n = 2 then a(2) =  3 and a(a(2)) = 1.
The 10th digit of S is 4 and if n = 3 then a(3) = 10 and a(a(3)) = 4.
The  6th digit of S is 1 and if n = 4 then a(4) =  6 and a(a(4)) = 1.
The 11th digit of S is 5 and if n = 5 then a(5) = 11 and a(a(5)) = 5.
The  9th digit of S is 9 and if n = 6 then a(6) = 94 and a(a(6)) = 9.
The 94th digit of S is 2 and if n = 7 then a(7) =  5 and a(a(7)) = 2, etc.
We see above that the leftmost column of integers forms the sequence S and the rightmost column of digits forms the successive digits of Pi.

Crossrefs

Cf. A000796.

Sequence in context: A163767 A343936 A336091 * A128531 A123167 A333176

Adjacent sequences: A347832 A347833 A347834 * A347836 A347837 A347838

Keyword

base,nonn

Author

Eric Angelini and Carole Dubois, Sep 21 2021

Status

approved